The generator matrix 1 0 0 0 1 1 1 0 1 1 1 1 X X X 1 0 X 0 1 0 1 1 1 X 0 0 1 1 0 0 1 X 0 X 1 1 1 0 1 1 0 1 0 X 1 1 1 1 0 1 X 0 1 0 1 1 1 1 0 0 0 1 0 0 0 1 1 1 0 X X+1 X+1 1 1 X 0 0 0 1 X 1 X+1 1 1 0 0 0 0 X+1 1 1 X 0 1 0 X X X 1 0 X+1 X X+1 1 0 X 1 X 1 1 X+1 1 1 X+1 1 X+1 1 1 X X 0 0 0 1 0 1 1 0 1 0 1 1 X 0 1 1 X 1 X X 1 1 X+1 0 1 1 1 1 0 0 0 X+1 X+1 X X+1 0 X+1 0 0 0 0 1 1 1 X 0 X+1 1 1 1 X X X+1 X+1 X X+1 X 0 X X+1 0 1 0 0 0 1 1 0 1 1 1 0 X+1 X 1 X 1 X+1 0 1 0 X+1 0 0 1 X+1 0 X 1 X 0 1 1 X+1 1 X+1 1 0 X X+1 0 X+1 0 X 0 X 1 X+1 1 0 X+1 1 0 X X X+1 1 X+1 1 X 0 1 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X X X X X X 0 0 X 0 0 X X X 0 X 0 X X 0 0 X 0 X X X X 0 X X X 0 0 X X 0 0 0 0 X 0 0 0 0 0 0 X 0 0 0 0 0 0 X 0 X X X X X X X 0 0 0 X 0 0 X X 0 0 0 0 0 0 X 0 0 0 X X X X X 0 X 0 0 X 0 0 X X X 0 0 X 0 0 X 0 0 0 0 0 0 0 X 0 0 0 0 0 0 X 0 X X X 0 X X 0 0 X 0 X X 0 0 X X X 0 0 X X 0 0 X 0 0 X 0 0 X 0 0 X X X 0 0 X X X X 0 X 0 0 X 0 0 0 0 0 0 0 X 0 0 X 0 X X 0 X X 0 0 X X X X 0 0 X 0 0 X X X 0 0 X 0 X X X 0 0 0 0 X 0 X 0 0 0 0 X X 0 X 0 0 0 0 X X 0 0 0 0 0 0 0 0 0 0 X X X X X X X X 0 0 0 0 X 0 0 X 0 0 X 0 X X 0 0 0 0 0 X 0 X X X X X X X X 0 X X X 0 X 0 X X 0 X 0 X 0 X 0 generates a code of length 61 over Z2[X]/(X^2) who´s minimum homogenous weight is 50. Homogenous weight enumerator: w(x)=1x^0+161x^50+445x^52+671x^54+842x^56+962x^58+1028x^60+1022x^62+986x^64+882x^66+629x^68+331x^70+136x^72+56x^74+26x^76+8x^78+3x^80+2x^82+1x^98 The gray image is a linear code over GF(2) with n=122, k=13 and d=50. This code was found by Heurico 1.16 in 9.05 seconds.